Domenico Valloni

activity

20182025

collaborators

3 papers

math.AG2025

On the Chow group of elliptic surfaces over number fields

Domenico Valloni

Let $X$ be a smooth projective surface over a number field $K$ . Assume that $X$ has an elliptic fibration over $P_{K}^{1}$ with at least one singular fibre and a section. Let…

math.AG2023

Reduction modulo $p$ of the Noether problem

Emiliano Ambrosi, Domenico Valloni

Let $R$ be a complete valuation ring of mixed characteristic $(0, p)$ with algebraically closed fraction field $K$ and residue field $k$ . Let $X / R$ be a smooth projective morphism.…

math.NT2018

Complex multiplication and Brauer groups of K3 surfaces

Domenico Valloni

We study K3 surfaces with complex multiplication following the classical work of Shimura on CM abelian varieties. After we translate the problem in terms of the arithmetic of the C…

On the Chow group of elliptic surfaces over number fields

Reduction modulo p of the Noether problem

Complex multiplication and Brauer groups of K3 surfaces

Reduction modulo $p$ of the Noether problem